Answer:
x = 5
Step-by-step explanation:
x + 5 = 
{Midpoint theorem}
2(x+ 5) = x² - x
2x + 10 = x² - x
x² - x - 2x - 10 = 0
x² - 3x - 10 = 0
x² - 5x + 2x - (5*2) = 0
x(x - 5) + 2(x - 5) = 0
(x -5)(x + 2) = 0
{x + 2 is ignored because measurement could not be in negative value}
x - 5 = 0
x = 5
Answer:
The answer is 
.
Step-by-step explanation:
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Answer: The price of an adult ticket = $6
The price of a student ticket = $12
Step-by-step explanation:
Let the price of an adult ticket be a
Let the price of a student ticket be b.
From the question,
5a + 14b = 198 ...... equation i
10a + 8b = 156....... equation ii
Multiply equation i by 10
Multiply equation ii by 5
50a + 140b = 1980 ...... equation iii
50a + 40b = 780 ....... equation iv
Subtract iv from iii
100b = 1200
b = 1200/100
b = 12
Put the value of b into equation ii
10a + 8b = 156
10a + 8(12) = 156
10a + 96 = 156
10a = 156-96
10a = 60
a = 6
The price of an adult ticket = $6
The price of a student ticket = $12
Answer:
Range, Maximum, and y-intercept
Step-by-step explanation:
Range is the y-values of the function. Each of these functions has a range of (-inf, 10].
The maximum is the largest y-value that is part of the range, which is 10 for both functions.
y-intercept is where the function crosses the y-axis which is 10 for both functions.
